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Finding the Fourth Proportional to 201,267, 301,910.76 and 51,508.53

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Solution

The fourth proportional to 201,267, 301,910.76 and 51,508.53 is: 77,265.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,267 : 301,910.76 = 51,508.53 : x
  2. Step 2: Convert to fraction form
    201,267/301,910.76 = 51,508.53/x
  3. Step 3: Cross multiply
    201,267x = 301,910.76 × 51,508.53
  4. Step 4: Simplify right side
    201,267x = 15,550,979,438.78
  5. Step 5: Solve for x
    x = 15,550,979,438.78/201,267
  6. Step 6: Final answer
    x = 77,265.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.